In the times of the Gaonim, Yehudai Gaon and Pirqoi ben Baboi seem to have tried to convince Israel to follow the Babylonian Talmud in the wake of earliest codified halachic works.
What other influence was present to move Israel (who presumably were following the Jerusalem/Yerushalmi Talmud at the time) to accept the Babylonian/Bavli Talmud? And how did they respond to this push?